Proofs of Triangle Congruence

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL

• SSS, SSA, HL, AAS, SAS

• SAS, SSA, HL, AAS, SSS

• HL, SAS, SSA, SSS, ASA

Congruent by

• SSS

• SAS

• ASA

• AAS

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Use the congruency statement to answer the following: 
<F = ___

• <H

• <I

• <G

• not congruent to another angle

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

What is Reason F?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

What is Reason E?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence